2011, Vol. 28(4): 40203-040203    DOI: 10.1088/0256-307X/28/4/040203
Perturbation to Noether Symmetry and Noether adiabatic Invariants of Discrete Mechanico-Electrical Systems
WANG Peng
College of Physics and Electronic Engineering, Xinjiang Normal University, Urumqi 830054 Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072
收稿日期 2010-11-03  修回日期 1900-01-01
Supporting info
[1] Bluman G W and Anco S C 2004 Symmetries and integration methods for Differential Equations (New York: Springer-Verlag)
[2] Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese)
[3] Guo Y X, Luo S K, Shang M and Mei F X 2001 Rep. Math. Phys. 47 313
[4] Jia L Q, Cui J C and Luo S K, Yang X F 2009 Chin. Phys. Lett. 26 030303
[5] Cai J L 2010 Int. J. Theor. Phys. 49 201
[6] Fang J H, Zhang M J and Zhang W W 2010 Phys. Lett. A 374 1801
[7] LeviD and Winternitz P 2006 J. Phys. A: Math. Theor. 39 R1
[8] Dorodnitsyn V A and Kozlov R V 2009 J. Phys. A: Math. Theor. 42 454007
[9] Zhang H B, Lv H S and Gu S L 2010 Acta Phys. Sin. 59 5213 (in Chinese)
[10] Fu J L, Chen B Y and Xie F P 2008 Chin. Phys. B 17 4354
[11] Zhao Y Y and Mei F X 1999 Symmetries and Invariants of Mechanical systems (Beijing: Science Press) (in Chinese)
[12] Kara A H and Mahomed F M 1999 Int. J. Theor. Phys. 38 2389
[13] Chen X W, Li Y M and Zhao Y H 2005 Phys. Lett. A 337 274
[14] Zhang Y, Fan C X and Mei F X 2006 Acta Phys. Sin. 55 3237 (in Chinese)
[15] Luo S K 2007 Acta Phys. Sin. 57 5580 (in Chinese).
[16] Wang P, Fang J H and Wang X M 2009 Chin. Phys. Lett. 26 034501
[17] Zhang M J, Fang J H, Lu K, Zhang K J and Li Y 2009 Chin. Phys. Lett. 26 120201